TY - JOUR
T1 - Remarks on q-Monotone Functions and the Bernstein polynomials
AU - Abel, Ulrich
AU - Leviatan, Dany
AU - Raşa, Ioan
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2023/4
Y1 - 2023/4
N2 - We show that certain inequalities involving differences of the Bernstein basis polynomials and values of a function f∈ C[0 , 1] , which is twice differentiable in [0, 1], imply that the function is q-monotone. This provides a partial answer to an open problem of the authors in a recent paper.
AB - We show that certain inequalities involving differences of the Bernstein basis polynomials and values of a function f∈ C[0 , 1] , which is twice differentiable in [0, 1], imply that the function is q-monotone. This provides a partial answer to an open problem of the authors in a recent paper.
KW - Polynomial inequalities
KW - functional inequalities
KW - q-monotonicity
UR - http://www.scopus.com/inward/record.url?scp=85144320214&partnerID=8YFLogxK
U2 - 10.1007/s00025-022-01810-5
DO - 10.1007/s00025-022-01810-5
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AN - SCOPUS:85144320214
SN - 1422-6383
VL - 78
JO - Results in Mathematics
JF - Results in Mathematics
IS - 2
M1 - 41
ER -